Finding the Fourth Proportional to 6,913.57, 9,540.83 and 3,769.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,913.57 : 9,540.83 = 3,769.75 : x
2. Step 2: Convert to fraction form
   6,913.57/9,540.83 = 3,769.75/x
3. Step 3: Cross multiply
   6,913.57x = 9,540.83 × 3,769.75
4. Step 4: Simplify right side
   6,913.57x = 35,966,543.89
5. Step 5: Solve for x
   x = 35,966,543.89/6,913.57
6. Step 6: Final answer
   x = 5,202.31